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Monochromatic light of frequency \(6 \times 10^{14} Hz\) is produced by a laser. The power emitted is \(2 \times 10^{-3}…

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Monochromatic light of frequency \(6 \times 10^{14} Hz\) is produced by a laser. The power emitted is \(2 \times 10^{-3} W\). How many photons per second on an average, are emitted by the source?
(Given \(h =6.63 \times 10^{-34} Js\) )

[JEE Main 2024, 01 Feb (Shift 2)]

a

\(6 \times 10^{15}\)

b

\(5 \times 10^{15}\)

c

\(7 \times 10^{16}\)

d

\(9 \times 10^{18}\)

✓ Correct answer: b)

\(5 \times 10^{15}\)

Explanation

Photons are the packets of energy. Power emitted,
\(P=2 \times 10^{-3} W\)

Energy of photon,
$$
\begin{aligned}
& E=h v \\
& =6.6 \times 10^{-34} \times 10^{14} J
\end{aligned}
$$
\(h\) being Planck's constant.
Number of photons emitted per second
$$
\begin{aligned}
& n=\frac{P}{E} \\
& =\frac{2 \times 10^{-3}}{6.6 \times 10^{-34} \times 6 \times 10^{14}} \\
& =5 \times 10^{15}
\end{aligned}
$$


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